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Robustness of Diffusion Models under Distribution Shift

arXiv · AI, language, vision and robotics · article · Sep 23, 2026 · UTC

Score-based diffusion models are increasingly considered in settings where the underlying data distribution may differ from the training distribution, yet existing theoretical guarantees largely focus on the no-shift setting. In this work, we study robust score estimation under Wasserstein perturbations of a reference distribution. For the Ornstein--Uhlenbeck diffusion, we show that robust estimation decomposes into two fundamental components: the statistical cost of learning the reference distribution and the intrinsic cost of distribution shift. The latter scales quadratically with the Wasse

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First collected: 2026-09-24T01:22:21.678Z. This is not the publication date.